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Finding the Fourth Proportional to 470,948.61, 706,447.35 and 155,430.12

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Solution

The fourth proportional to 470,948.61, 706,447.35 and 155,430.12 is: 233,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,948.61 : 706,447.35 = 155,430.12 : x
  2. Step 2: Convert to fraction form
    470,948.61/706,447.35 = 155,430.12/x
  3. Step 3: Cross multiply
    470,948.61x = 706,447.35 × 155,430.12
  4. Step 4: Simplify right side
    470,948.61x = 109,803,196,384.18
  5. Step 5: Solve for x
    x = 109,803,196,384.18/470,948.61
  6. Step 6: Final answer
    x = 233,153.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.